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A080209 Gilbreath transform of the sequence of Sophie Germain primes (A005384), i.e. the diagonal of leading successive absolute differences of A005384. +0
1
2, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 3, 1, 3, 1, 1, 1, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 1, 1, 3, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 3, 1, 1, 3, 1, 3, 1, 3, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 1, 1, 3, 1, 3, 1, 1, 1, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 1, 3, 1, 1, 3 (list; graph; listen)
OFFSET

1,1

COMMENT

Conjecture: The diagonal of leading successive absolute differences of the Sophie Germain primes consists, except for the initial 2, only of 1's and 3s.

LINKS

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Eric Weisstein's World of Mathematics, Gilbreath's Conjecture

EXAMPLE

The difference table begins:

2

3 1

5 2 1

11 6 4 3

23 12 6 2 1

29 6 6 0 2 1

CROSSREFS

Cf. A005384, A054977, A036262.

Sequence in context: A106177 A135010 A138138 this_sequence A127949 A167407 A051340

Adjacent sequences: A080206 A080207 A080208 this_sequence A080210 A080211 A080212

KEYWORD

nonn

AUTHOR

John W. Layman (layman(AT)math.vt.edu), Mar 20 2003

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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